Apartly full paint can has 0.67 u. s. gallons of paint left in it. (a) what is the volume of the paint in cubic meters? (b) if all the remaining paint is used to coat a wall of area 13 m2 evenly, how thick is the layer of wet paint? give your answer in millimeters.

Answer

The volume of paint in the cubic meter is 0.00254 m³ .

Thickness of the layer of wet paint is 0.195 mm .

Explanation:

First part

As given

A partly full paint can has 0.67 U.S. gallons of paint left in it.

As

1 m³ = 264.172 gallons

Now convert 0.67 U.S. gallons into cubic meter .

                            = 0.00254 m³ (Approx)

The volume of paint in the cubic meter is 0.00254 m³ .

Second part

As given

If all the remaining paint is used to coat a wall of area 13 m²evenly .

Formula

Volume of wall  = Length × Breadth × Height

(As Area of wall = Length × Breadth)

Height = Thickness

Thus formula becomes

Volume of wall = Area × Thickness

(Volume = 0.00254 m³ and Area = 13 m²)

Thus

0.00254 = 13 × Thickness

Thickness = 0.000195 m

As 1 m = 1000 mm

Now convert 0.000195 m into millimeters .

                           = 0.195 mm

Therefore thickness of the layer of wet paint is 0.195 mm .

a. the volume of the paint in cubic meters: 2,536.10⁻³ m³

b. the thickness of the wet paint coating: 0.195 mm

7 main quantities have been determined based on international standards, namely:

The length is to indicate the distance between two points in a place

The symbol is usually expressed in l, length

The volume itself is a derivative of length

Volume is the amount of how much space an object has

The unit of volume can be expressed in liters or milliliters or cubic meters.

The conversion is

1 cc = 1 cm³

1 dm = 1 Liter

1 mL = 1 cm³

1 L = 1 dm³

general formula :

V = length x width x height

a. Known :

1 us gallons = 3,785.10⁻³ m³

then for 0.67 us gallons becomes:

0.67 x 3,785.10⁻³ = 2,536.10⁻³ m³

b. volume = A. h (h = thickness)

h = 2,536.10⁻³ m³ / 13 m²

h = 1.95.10⁻⁴ m

h = 0.195 mm

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Keywords: volume, paint, gallons, wall

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